If slope of curve is first positive, then zero and after that became negative, so best represented of following graph which satisfied above condition

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Which of the following graph has a positive, decreasing slope?

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The slope of a curve between y and x changes from 0 to -5 as x changes from 0 to 5. Which of the following curve best represents the above mentioned curve?

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The parabola y = x${}^2$ + 1 is represented by

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The relationship y = $\frac{3}{\mathrm{x}}$ is best represented as 

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4. 

1. \(2P_0 - \frac{P_0V}{V_0}\)
2. \(3P_0 - \frac{P_0V}{V_0}\)
3. \(P_0 - \frac{P_0V}{V_0}\)
4. \(4P_0 - \frac{P_0V}{V_0}\)

The straight line y = -2x + 5 is best represented by

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Which of the following represented to U-x graph of U = $\frac{1}{2}K(A^2 - x^2) ? (\mathrm{K}>0)$

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For the given figure, which of the following is true?

                          
1. \(\overrightarrow{B}= \overrightarrow{A}+\overrightarrow{C}\)
2. \(\overrightarrow{A}= \overrightarrow{B}+\overrightarrow{C}\)
3. \(\overrightarrow{C}= \overrightarrow{A}+\overrightarrow{B}\)
4. All of these

The value of the unit vector, which is perpendicular to both \(A=\hat{i} + 2\hat{j} + 3 \hat{k}\) and \(B= \hat{i} - 2\hat{j} - 3 \hat{k}\) $\mathrm{is\; equal\; to}$:

1. \(\frac{\hat{i}   +   2 \hat{j}   +   3 \hat{k}}{6}\)
2. \(\frac{6\hat{j} -4 \hat{k}}{\sqrt{52}}\)
3. \(\frac{6\hat{j} +4 \hat{k}}{\sqrt{52}}\)
4. \(\frac{2\hat{i} - \hat{j}}{\sqrt{5}}\)